Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 666, 168, 838, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 666, 168, 838, 121 is 1
GCD(666, 168, 838, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 168, 838, 121 is 1
GCD(666, 168, 838, 121) = 1
Given Input numbers are 666, 168, 838, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 666, 168, 838, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 168, 838, 121 is 1.
Therefore, GCD of numbers 666, 168, 838, 121 is 1
Given Input Data is 666, 168, 838, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 838 is 2 x 419
Prime Factorization of 121 is 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(666, 168) = 18648
GCD(666, 168) = ( 666 x 168 ) / 18648
GCD(666, 168) = 111888 / 18648
GCD(666, 168) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 838) = 2514
GCD(6, 838) = ( 6 x 838 ) / 2514
GCD(6, 838) = 5028 / 2514
GCD(6, 838) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
GCD of 666, 168, 838, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 168, 838, 121?
GCD of 666, 168, 838, 121 is 1
2. Where do I get the detailed procedure to find GCD of 666, 168, 838, 121?
You can find a detailed procedure to find GCD of 666, 168, 838, 121 on our page.
3. How to find GCD of 666, 168, 838, 121 on a calculator?
You can find the GCD of 666, 168, 838, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.